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Casino Math

Craps

The key to understanding the mathematics of craps is to understand the dice combinations, or probabilities. In my strategies we want to only play bets with the highest chance of winning. These are the pass lines with odds, the come bets, the occasional place bets, the 6 and 8 don't pass placing the odds and can't be placed with or without the odds.

The house percentage in craps falls to 0.8% if you make the above-mentioned wagers. The house percentage drops to 0.8 %... double chances. This reduces to 0.6 three odds. This reduces to 0.5 , and then to 0.5 . It can also be reduced to 0.5 triple and ten times to 100 times the odds.

games to play on pc 'm often asked at seminars why place bets don't perform as well as come bets. The answer lies with the combinations of dice. This point can be illustrated by a place bet. You can only win a direct bet on the number 5, which is also known as a place betting, on four different dice combinations: 1-4-4-1, 2-3, 3-2 and 2-2. That's it! free play online loses if a 7, which is the sum of six dice combinations, is rolled. Based on just the dice combinations, it's 6-4 or 3-4 against you.

Let's now take a look at the come bet. When the come bet sits in the come area, it wins on a seven or 11 for a total of eight dice combinations and loses on a 2, 3 or 12 for a total of 4 dice combinations. The odds of winning an immediate win are 6 to 4 or 2 to 1. The come bet that goes to the 5 has four more winning combinations. So, the come bet that started in the come area and went to the 5 had 12 dice combinations to win, versus only 5 combinations for the place bet on the 5. This is a significant advantage. This analysis can be used for any place bet.


You can also take odds on all of your come bets. Place bets for the 4 or 10 are 6.7% and 4% respectively; place bets for the 5 or 9 are 4% and place bets for the 6 or 8 are 1.5%. A come bet is 0.8% with one odds. It has the exact same odds and odds as a pass line with single odds.

To win in craps, you must minimize the casino's advantage and use money management to capitalize on all streaks, do or don't. That's what the Benson Strategies are all about.

play free games is the only online casino game where the benefit or disadvantage of each card can change. Because the game favors the house by 4 percent, you can break the dealer and get the money. Of course, the house!

By playing basic strategy, you can reduce your house advantage down to 1.5% This in itself makes it a good game to play. If you play well and manage your money properly, you can expect to see a positive return over the long-term.

The player's advantage can be increased by as much as 1% through the combination of basic strategy and tracking the cards. The advantage of the player increases if there are more high cards left in their unplayed hand (or deck). High cards favor the player because they give the player a better chance to get a "pat" hand and also they increase the dealer's chance of breaking. The dealer must hit 16 or less cards. With high cards remaining, this creates a higher chance of a dealer break.

The most common methods for tracking are simple high-lo counts (good for single-deck games) and card clustering methods (good to track shoe games). The 1% advantage is the highest expected mathematical return for expertly played blackjack.

Baccarat

Baccarat is a game with negative expectations, just like roulette and craps. This means the house always wins. This means that mathematically, there is no way to place the odds in the favor of the player. This is only possible with perfect blackjack count (which is the reason they don't let players win a lot).

To win at Baccarat, you must follow the trend. A trend can form in any random or nearly random series of events. There won't be enough play to calculate statistical significance. One possibility is that there are 50% more bankers than players, which would be very interesting.

games news have a lot of activity and statistical significance. They cannot lose from gaming itself. They will only lose if they don't get enough players, or in typical business profit/loss scenarios. They do not lose on gaming. It's impossible. But it is very possible for the casino to lose to individual players. These losses are compensated by the casino because they have enough players who can make the math work for them long-term.

This last point matters. It is important because you won't be playing 24 hours a days if you don't play by the same mathematical statistics of the casino. This is immediately eliminated by our departure rules and money management. Bad play and lack of discipline are the only things that can beat a Baccarat dealer.

Roulette

Roulette has a 5.26% advantage on the player. This is because there are 38 numbers on the wheel, including 0 through 00. However, the payoffs are only based on the 36 numbers and not the 0 or 00. The single number pays 35-1. So, simply stated, the 0 and 00 are the casino's edge.

The casino will enjoy a mathematical advantage over a long time.

Casino's Math

It takes a lot of play to win true odds
All statistics are based on an infinite number of rolls.
The Hates deviations of bet sizes
Does not like structured play, especially in departure rules and money management.
Once you have reached the required volume, the mathematical edge will be yours.
The casino will offer any enticement to achieve this guaranteed mathematical edge.




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